Now showing items 1-13 of 13

  • Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I) 

    Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-10-01)
    Article
    Open Access
    In this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ...
  • Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case 

    Baldomá Barraca, Inmaculada; Castejón Company, Oriol; Martínez-Seara Alonso, M. Teresa (2018-04-17)
    Article
    Open Access
    In this paper, we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero singularity. The method consists in obtaining ...
  • Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case 

    Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2011)
    External research report
    Open Access
    In this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity. This heteroclinic orbit appears at any order if one performs the normal form around ...
  • Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity 

    Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa (2004)
    Article
    Open Access
    In this paper we study the exponentially small splitting of a heteroclinic orbit in some unfoldings of the central singularity also called Hopf-zero singularity. The fields under consideration are of the form: dx dτ = ...
  • EQUACIONS DIFERENCIALS ORDINÀRIES 

    Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2018-01-18)
    Exam
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  • EQUACIONS DIFERENCIALS ORDINÀRIES 

    Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2017-11-03)
    Exam
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  • EQUACIONS DIFERENCIALS ORDINÀRIES | ( Examen final ) 

    Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2019-01-10)
    Exam
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  • EQUACIONS DIFERENCIALS ORDINÀRIES | ( Examen parcial ) 

    Baldomá Barraca, Inmaculada (Universitat Politècnica de Catalunya, 2018-11-09)
    Exam
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  • Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity 

    Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2013)
    Article
    Restricted access - publisher's policy
    In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ...
  • Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results 

    Baldomá Barraca, Inmaculada; Fontich, Ernest; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (2011)
    External research report
    Open Access
    In this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ...
  • Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points 

    Baldomá Barraca, Inmaculada; Fontich, Ernest; Martín, Pau (2017-08-01)
    Article
    Open Access
    We study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue ...
  • On the asymptotic wavenumber of spiral waves in lambda - omega systems 

    Aguareles Carrero, María; Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa (2016-01-01)
    Article
    Open Access
    In this paper we consider spiral wave solutions of a general class of $\lambda -\omega $ systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a ${{\mathcal{C}}^{\infty}}$ ...
  • Whiskered parabolic tori in the planar (n+ 1) -body problem 

    Baldomá Barraca, Inmaculada; Fontich Julia, Ernest; Martín de la Torre, Pablo (2019-01-01)
    Article
    Restricted access - publisher's policy
    The planar (n+1)-body problem models the motion of n+1 bodies in the plane under their mutual Newtonian gravitational attraction forces. When n=3, the question about final motions, that is, what are the possible limit ...